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Finding the Fourth Proportional to 8,535.50, 12,803.34 and 2,379.50

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Solution

The fourth proportional to 8,535.50, 12,803.34 and 2,379.50 is: 3,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.50 : 12,803.34 = 2,379.50 : x
  2. Step 2: Convert to fraction form
    8,535.50/12,803.34 = 2,379.50/x
  3. Step 3: Cross multiply
    8,535.50x = 12,803.34 × 2,379.50
  4. Step 4: Simplify right side
    8,535.50x = 30,465,547.53
  5. Step 5: Solve for x
    x = 30,465,547.53/8,535.50
  6. Step 6: Final answer
    x = 3,569.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.